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Simplifying -38 + 8n = -7(n + -8) Reorder the terms: -38 + 8n = -7(-8 + n) -38 + 8n = (-8 * -7 + n * -7) -38 + 8n = (56 + -7n) Solving -38 + 8n = 56 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -38 + 8n + 7n = 56 + -7n + 7n Combine like terms: 8n + 7n = 15n -38 + 15n = 56 + -7n + 7n Combine like terms: -7n + 7n = 0 -38 + 15n = 56 + 0 -38 + 15n = 56 Add '38' to each side of the equation. -38 + 38 + 15n = 56 + 38 Combine like terms: -38 + 38 = 0 0 + 15n = 56 + 38 15n = 56 + 38 Combine like terms: 56 + 38 = 94 15n = 94 Divide each side by '15'. n = 6.266666667 Simplifying n = 6.266666667
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